diff --git a/packages/babel-plugin-transform-es2015-modules-commonjs/src/index.js b/packages/babel-plugin-transform-es2015-modules-commonjs/src/index.js
index 30c0c5c8c3..a91e22f639 100644
--- a/packages/babel-plugin-transform-es2015-modules-commonjs/src/index.js
+++ b/packages/babel-plugin-transform-es2015-modules-commonjs/src/index.js
@@ -63,6 +63,7 @@ export default function () {
       } else {
         path.replaceWith(remap);
       }
+      this.requeueInParent(path);
     },
 
     AssignmentExpression(path) {
@@ -86,6 +87,7 @@ export default function () {
       }
 
       path.replaceWith(node);
+      this.requeueInParent(path);
     },
 
     UpdateExpression(path) {
@@ -102,7 +104,9 @@ export default function () {
       let node = t.assignmentExpression(path.node.operator[0] + "=", arg.node, t.numericLiteral(1));
 
       if ((path.parentPath.isExpressionStatement() && !path.isCompletionRecord()) || path.node.prefix) {
-        return path.replaceWith(node);
+        path.replaceWith(node);
+        this.requeueInParent(path);
+        return;
       }
 
       let nodes = [];
@@ -116,7 +120,8 @@ export default function () {
       }
       nodes.push(t.binaryExpression(operator, arg.node, t.numericLiteral(1)));
 
-      path.replaceWithMultiple(t.sequenceExpression(nodes));
+      let newPaths = path.replaceWithMultiple(t.sequenceExpression(nodes));
+      for (const newPath of newPaths) this.requeueInParent(newPath);
     }
   };
 
@@ -125,6 +130,11 @@ export default function () {
 
     visitor: {
       ThisExpression(path, state) {
+        // If other plugins run after this plugin's Program#exit handler, we allow them to
+        // insert top-level `this` values. This allows the AMD and UMD plugins to
+        // function properly.
+        if (this.ranCommonJS) return;
+
         if (
           state.opts.allowTopLevelThis !== true &&
           !path.findParent((path) => !path.is("shadow") &&
@@ -136,6 +146,8 @@ export default function () {
 
       Program: {
         exit(path) {
+          this.ranCommonJS = true;
+
           let strict = !!this.opts.strict;
 
           let { scope } = path;
@@ -419,7 +431,12 @@ export default function () {
           }
 
           path.unshiftContainer("body", topNodes);
-          path.traverse(reassignmentVisitor, { remaps, scope, exports });
+          path.traverse(reassignmentVisitor, {
+            remaps,
+            scope,
+            exports,
+            requeueInParent: (newPath) => path.requeue(newPath),
+          });
         }
       }
     }
diff --git a/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/actual.js b/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/actual.js
new file mode 100644
index 0000000000..259f74503b
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/actual.js
@@ -0,0 +1,5 @@
+
+import foo from 'foo';
+console.log(foo);
+
+export default 5;
diff --git a/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/expected.js b/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/expected.js
new file mode 100644
index 0000000000..26139932fd
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/expected.js
@@ -0,0 +1,15 @@
+'use strict';
+
+Object.defineProperty(exports, "__esModule", {
+  value: true
+});
+
+var _foo = require('foo');
+
+var _foo2 = _interopRequireDefault(_foo);
+
+function _interopRequireDefault(obj) { return obj && obj.__esModule ? obj : { 'default': obj }; }
+
+console.log(_foo2['default']);
+
+exports['default'] = 5;
diff --git a/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/options.json b/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/options.json
new file mode 100644
index 0000000000..33996fe794
--- /dev/null
+++ b/packages/babel-plugin-transform-es2015-modules-commonjs/test/fixtures/regression/es3-compatibility/options.json
@@ -0,0 +1,7 @@
+{
+  "plugins": [
+    "transform-es2015-modules-commonjs",
+    "transform-es3-member-expression-literals",
+    "transform-es3-property-literals"
+  ]
+}
diff --git a/packages/babel-traverse/src/path/context.js b/packages/babel-traverse/src/path/context.js
index fcd06d5ca0..2c2c0ed366 100644
--- a/packages/babel-traverse/src/path/context.js
+++ b/packages/babel-traverse/src/path/context.js
@@ -208,10 +208,22 @@ export function setKey(key) {
   this.type = this.node && this.node.type;
 }
 
-export function requeue(path = this) {
-  if (path.removed) return;
+export function requeue(pathToQueue = this) {
+  if (pathToQueue.removed) return;
 
-  for (let context of this.contexts) {
-    context.maybeQueue(path);
+  let contexts = this._getQueueContexts();
+
+  for (let context of contexts) {
+    context.maybeQueue(pathToQueue);
   }
 }
+
+export function _getQueueContexts(){
+  let path = this;
+  let contexts = this.contexts;
+  while (!contexts.length) {
+    path = path.parentPath;
+    contexts = path.contexts;
+  }
+  return contexts;
+}
diff --git a/packages/babel-traverse/src/path/modification.js b/packages/babel-traverse/src/path/modification.js
index ce141aa6c5..5811a19514 100644
--- a/packages/babel-traverse/src/path/modification.js
+++ b/packages/babel-traverse/src/path/modification.js
@@ -60,12 +60,7 @@ export function _containerInsert(from, nodes) {
     }
   }
 
-  let contexts = this.contexts;
-  let path = this;
-  while (!contexts.length) {
-    path = path.parentPath;
-    contexts = path.contexts;
-  }
+  let contexts = this._getQueueContexts();
 
   for (let path of paths) {
     path.setScope();